Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces

摘要

A Sobolev type embedding for Triebel-Lizorkin-Morrey-Lorentz spaces is established in this paper. As an application of this result, the boundedness of the fractional integral operator on some generalizations of Hardy spaces such as Hardy-Morrey spaces and Hardy-Lorentz spaces are obtained.